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Finding the Third Proportional to 126,736 and 199,336

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Solution

The third proportional to 126,736 and 199,336 is: 313,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,736 : 199,336 = 199,336 : x
  2. Step 2: Convert to fraction form
    126,736/199,336 = 199,336/x
  3. Step 3: Cross multiply
    126,736x = 199,336 × 199,336
  4. Step 4: Simplify right side
    126,736x = 39,734,840,896
  5. Step 5: Solve for x
    x = 39,734,840,896/126,736
  6. Step 6: Final answer
    x = 313,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.